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Simplifying 2(-5z + 1) = -1(-2 + 4z) + -1z Reorder the terms: 2(1 + -5z) = -1(-2 + 4z) + -1z (1 * 2 + -5z * 2) = -1(-2 + 4z) + -1z (2 + -10z) = -1(-2 + 4z) + -1z 2 + -10z = (-2 * -1 + 4z * -1) + -1z 2 + -10z = (2 + -4z) + -1z Combine like terms: -4z + -1z = -5z 2 + -10z = 2 + -5z Add '-2' to each side of the equation. 2 + -2 + -10z = 2 + -2 + -5z Combine like terms: 2 + -2 = 0 0 + -10z = 2 + -2 + -5z -10z = 2 + -2 + -5z Combine like terms: 2 + -2 = 0 -10z = 0 + -5z -10z = -5z Solving -10z = -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. -10z + 5z = -5z + 5z Combine like terms: -10z + 5z = -5z -5z = -5z + 5z Combine like terms: -5z + 5z = 0 -5z = 0 Divide each side by '-5'. z = 0 Simplifying z = 0
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